Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5648, 9965, 14951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5648, 9965, 14951 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5648, 9965, 14951 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5648, 9965, 14951 is 1.
HCF(5648, 9965, 14951) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5648, 9965, 14951 is 1.
Step 1: Since 9965 > 5648, we apply the division lemma to 9965 and 5648, to get
9965 = 5648 x 1 + 4317
Step 2: Since the reminder 5648 ≠ 0, we apply division lemma to 4317 and 5648, to get
5648 = 4317 x 1 + 1331
Step 3: We consider the new divisor 4317 and the new remainder 1331, and apply the division lemma to get
4317 = 1331 x 3 + 324
We consider the new divisor 1331 and the new remainder 324,and apply the division lemma to get
1331 = 324 x 4 + 35
We consider the new divisor 324 and the new remainder 35,and apply the division lemma to get
324 = 35 x 9 + 9
We consider the new divisor 35 and the new remainder 9,and apply the division lemma to get
35 = 9 x 3 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5648 and 9965 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(35,9) = HCF(324,35) = HCF(1331,324) = HCF(4317,1331) = HCF(5648,4317) = HCF(9965,5648) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14951 > 1, we apply the division lemma to 14951 and 1, to get
14951 = 1 x 14951 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14951 is 1
Notice that 1 = HCF(14951,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5648, 9965, 14951?
Answer: HCF of 5648, 9965, 14951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5648, 9965, 14951 using Euclid's Algorithm?
Answer: For arbitrary numbers 5648, 9965, 14951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.